MASSIVE TWISTOR WORLDLINE IN ELECTROMAGNETIC FIELDS

Massive twistor worldline in electromagnetic fields

Massive twistor worldline in electromagnetic fields

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Abstract We study the (ambi-)twistor model for spinning particles interacting via electromagnetic field, as PR783 a toy model for studying classical dynamics of gravitating bodies including effects of both spins to all orders.We compute the momentum kick and spin kick up to one-loop order and show precisely how they are encoded in the classical eikonal.The all-orders-in-spin effects are encoded as a dynamical implementation of the Newman-Janis shift, and we find that the expansion in Accessories both spins can be resummed to simple expressions in special kinematic configurations, at least up to one-loop order.We confirm that the classical eikonal can be understood as the generator of canonical transformations that map the in-states of a scattering process to the out-states.

We also remark that cut contributions for converting worldline propagators from time-symmetric to retarded amount to the iterated action of the leading eikonal at one-loop order.

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